My Department currently has no plans to publish employability league tables. Employability information is already published in a variety of ways and recent legislative changes will enable analysis of graduate earnings over a longer time period, thus providing a richer data set.
The Higher Education Statistics Agency (HESA) publish provider-level comparisons of employability outcomes in the Higher Education Performance Indicators (https://www.hesa.ac.uk/pis/emp). These are intended to be considered alongside the published benchmarks, which take account of the student entry profile and subject mix at each provider.
Information on graduate employment and salaries is also included in the Key Information Set (https://unistats.direct.gov.uk) to help university applicants choose the most suitable course and higher education provider.
Finally, employment outcomes are one of the measures we are considering for inclusion in the new Teaching Excellence Framework. We will consult on this later this Autumn.